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Finding the Fourth Proportional to 8,171.78, 11,282.81 and 6,381.27

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Solution

The fourth proportional to 8,171.78, 11,282.81 and 6,381.27 is: 8,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.78 : 11,282.81 = 6,381.27 : x
  2. Step 2: Convert to fraction form
    8,171.78/11,282.81 = 6,381.27/x
  3. Step 3: Cross multiply
    8,171.78x = 11,282.81 × 6,381.27
  4. Step 4: Simplify right side
    8,171.78x = 71,998,625.06
  5. Step 5: Solve for x
    x = 71,998,625.06/8,171.78
  6. Step 6: Final answer
    x = 8,810.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.